The pair are believed to have been workers at the nearby Radisson Edwardian Heathrow Hotel.
Attila Ban, 31, of New Road, Harlington, is due to appear at West London Magistrates' Court.
Police confirmed both victims died of stab wounds and a knife was recovered.
The address where they were found is behind the Radisson Edwardian Heathrow Hotel and Convention Centre.
Mr Ban, a Hungarian national, underwent treatment for wrist and neck injuries after his arrest on Thursday.